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31424301132 = 22372376172341
BaseRepresentation
bin11101010001000010…
…001100100001001100
310000010000100220012220
4131101002030201030
51003324110114012
622234111455340
72161503103200
oct352102144114
9100100326186
1031424301132
1112366220604
12610bb27550
132c6a4a1933
141741684b00
15c3dbbe08c
hex75108c84c

31424301132 has 144 divisors (see below), whose sum is σ = 87779246688. Its totient is φ = 8717829120.

The previous prime is 31424301127. The next prime is 31424301163. The reversal of 31424301132 is 23110342413.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13422282 + ... + 13424622.

It is an arithmetic number, because the mean of its divisors is an integer number (609578102).

Almost surely, 231424301132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31424301132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43889623344).

31424301132 is an abundant number, since it is smaller than the sum of its proper divisors (56354945556).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31424301132 is a wasteful number, since it uses less digits than its factorization.

31424301132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3016 (or 3007 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 31424301132 its reverse (23110342413), we get a palindrome (54534643545).

The spelling of 31424301132 in words is "thirty-one billion, four hundred twenty-four million, three hundred one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 49 74 84 98 111 147 148 196 222 259 294 444 518 588 617 777 1036 1234 1554 1813 1851 2341 2468 3108 3626 3702 4319 4682 5439 7023 7252 7404 8638 9364 10878 12957 14046 16387 17276 21756 22829 25914 28092 30233 32774 45658 49161 51828 60466 65548 68487 86617 90699 91316 98322 114709 120932 136974 159803 173234 181398 196644 229418 259851 273948 319606 344127 346468 362796 458836 479409 519702 606319 639212 688254 958818 1039404 1118621 1212638 1376508 1444397 1818957 1917636 2237242 2425276 2888794 3355863 3637914 4244233 4333191 4474484 5777588 6711726 7275828 8488466 8666382 10110779 12732699 13423452 16976932 17332764 20221558 25465398 30332337 40443116 50930796 53442689 60664674 70775453 106885378 121329348 141550906 160328067 212326359 213770756 283101812 320656134 374098823 424652718 641312268 748197646 849305436 1122296469 1496395292 2244592938 2618691761 4489185876 5237383522 7856075283 10474767044 15712150566 31424301132